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1023103120 = 245131039551
BaseRepresentation
bin111100111110110…
…101000010010000
32122022011000122011
4330332311002100
54043403244440
6245304352304
734232142634
oct7476650220
92568130564
101023103120
11485573576
12246775694
13133c68b80
1499c42dc4
155ec469ea
hex3cfb5090

1023103120 has 80 divisors (see below), whose sum is σ = 2586834432. Its totient is φ = 374054400.

The previous prime is 1023103117. The next prime is 1023103121. The reversal of 1023103120 is 213013201.

1023103120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1023103120.

It is not an unprimeable number, because it can be changed into a prime (1023103121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102345 + ... + 111895.

Almost surely, 21023103120 is an apocalyptic number.

1023103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293417216).

1023103120 is an abundant number, since it is smaller than the sum of its proper divisors (1563731312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1023103120 is a wasteful number, since it uses less digits than its factorization.

1023103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9680 (or 9674 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1023103120 is about 31985.9831801369. The cubic root of 1023103120 is about 1007.6424836507.

Adding to 1023103120 its reverse (213013201), we get a palindrome (1236116321).

The spelling of 1023103120 in words is "one billion, twenty-three million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 103 104 130 206 208 260 412 515 520 824 1030 1040 1339 1648 2060 2678 4120 5356 6695 8240 9551 10712 13390 19102 21424 26780 38204 47755 53560 76408 95510 107120 124163 152816 191020 248326 382040 496652 620815 764080 983753 993304 1241630 1967506 1986608 2483260 3935012 4918765 4966520 7870024 9837530 9933040 12788789 15740048 19675060 25577578 39350120 51155156 63943945 78700240 102310312 127887890 204620624 255775780 511551560 1023103120